Curvature

The curvature discussed in this paper is a far reaching generalization of the Riemannian sectional curvature. The authors give a unified definition of curvature which applies to a wide class of geometric structures whose geodesics arise from optimal control problems, including Riemannian, sub-Rieman...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Agrachev, A.
Otros Autores: Barilari, D., Rizzi, L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2019.
Colección:Memoirs of the American Mathematical Society Ser.
Temas:
Curvature.
Riemannian manifolds.
Geometry, Differential.
Courbure.
Variétés de Riemann.
Géométrie différentielle.
Curvature
Geometry, Differential
Riemannian manifolds
Acceso en línea:Texto completo
Descripción
Sumario:The curvature discussed in this paper is a far reaching generalization of the Riemannian sectional curvature. The authors give a unified definition of curvature which applies to a wide class of geometric structures whose geodesics arise from optimal control problems, including Riemannian, sub-Riemannian, Finsler and sub-Finsler spaces. Special attention is paid to the sub-Riemannian (or Carnot-Carathéodory) metric spaces. The authors' construction of curvature is direct and naive, and similar to the original approach of Riemann. In particular, they extract geometric invariants from the asympto.
Descripción Física:1 online resource (154 pages)
ISBN:9781470449131
1470449137

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